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Finding the Fourth Proportional to 12,780.54, 19,163.12 and 5,278.32

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Solution

The fourth proportional to 12,780.54, 19,163.12 and 5,278.32 is: 7,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.54 : 19,163.12 = 5,278.32 : x
  2. Step 2: Convert to fraction form
    12,780.54/19,163.12 = 5,278.32/x
  3. Step 3: Cross multiply
    12,780.54x = 19,163.12 × 5,278.32
  4. Step 4: Simplify right side
    12,780.54x = 101,149,079.56
  5. Step 5: Solve for x
    x = 101,149,079.56/12,780.54
  6. Step 6: Final answer
    x = 7,914.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.